
Study the diagram above and answer the following questions:
(a) How many alleles are involved in blood grouping?
(b) A person having 'AB' blood group has both dominant alleles. What is this inheritance type called?
(c) A man with 'A' blood group marries a woman with 'B' blood group. Can they have a child with 'O' blood group? Explain with the help of a cross.
(a) There are three alleles involved in human ABO blood grouping.
These alleles are:
This is an example of multiple alleles, where more than two alleles exist for a genetic trait, but only two are present in an individual at a time.
(b) The inheritance type is called Co-dominance.
In co-dominance, both alleles in a heterozygous individual are fully expressed. In the case of blood group AB:
(c) Yes, it is possible for them to have a child with 'O' blood group, depending on their genotypes.
Blood group A can have genotype: IAIA or IAi
Blood group B can have genotype: IBIB or IBi
If the man is IAi and the woman is IBi, the possible cross is:
| Father (IAi) | Mother (IBi) | Child Genotype | Child Blood Group |
|---|---|---|---|
| IA | IB | IAIB | AB |
| IA | i | IAi | A |
| i | IB | IBi | B |
| i | i | ii | O |
Conclusion: If both parents are heterozygous (IAi and IBi), there is a 25% chance that the child may inherit i from both parents and have blood group O (genotype: ii).
A racing track is built around an elliptical ground whose equation is given by \[ 9x^2 + 16y^2 = 144 \] The width of the track is \(3\) m as shown. Based on the given information answer the following: 
(i) Express \(y\) as a function of \(x\) from the given equation of ellipse.
(ii) Integrate the function obtained in (i) with respect to \(x\).
(iii)(a) Find the area of the region enclosed within the elliptical ground excluding the track using integration.
OR
(iii)(b) Write the coordinates of the points \(P\) and \(Q\) where the outer edge of the track cuts \(x\)-axis and \(y\)-axis in first quadrant and find the area of triangle formed by points \(P,O,Q\).